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Finding the Fourth Proportional to 6,643.89, 9,947.38 and 3,346.99

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Solution

The fourth proportional to 6,643.89, 9,947.38 and 3,346.99 is: 5,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.89 : 9,947.38 = 3,346.99 : x
  2. Step 2: Convert to fraction form
    6,643.89/9,947.38 = 3,346.99/x
  3. Step 3: Cross multiply
    6,643.89x = 9,947.38 × 3,346.99
  4. Step 4: Simplify right side
    6,643.89x = 33,293,723.28
  5. Step 5: Solve for x
    x = 33,293,723.28/6,643.89
  6. Step 6: Final answer
    x = 5,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.